Global sensitivity measures from given data

Global sensitivity measures from given data

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Article ID: iaor2013861
Volume: 226
Issue: 3
Start Page Number: 536
End Page Number: 550
Publication Date: May 2013
Journal: European Journal of Operational Research
Authors: , ,
Keywords: input-output analysis, sensitivity analysis, software reliability, aerospace
Abstract:

Simulation models support managers in the solution of complex problems. International agencies recommend uncertainty and global sensitivity methods as best practice in the audit, validation and application of scientific codes. However, numerical complexity, especially in the presence of a high number of factors, induces analysts to employ less informative but numerically cheaper methods. This work introduces a design for estimating global sensitivity indices from given data (including simulation input–output data), at the minimum computational cost. We address the problem starting with a statistic based on the L 1‐norm. A formal definition of the estimators is provided and corresponding consistency theorems are proved. The determination of confidence intervals through a bias‐reducing bootstrap estimator is investigated. The strategy is applied in the identification of the key drivers of uncertainty for the complex computer code developed at the National Aeronautics and Space Administration (NASA) assessing the risk of lunar space missions. We also introduce a symmetry result that enables the estimation of global sensitivity measures to datasets produced outside a conventional input–output functional framework.

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